The recursive formula is aₙ = 2(6)ⁿ⁻¹.
What is recursive formula?
A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.
Given: 2, 12, 72, 432,..
r= 12/2= 6
a= 2
The recursive formula for the nth term,
aₙ = a₁ rⁿ⁻¹
aₙ = 2(6)ⁿ⁻¹
Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹
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